# How do I determine the x and y intercept for the graph 6(x-1)=2(y+3)?

Dec 20, 2014

We can start with simplifying this equation for the variable $y$

$6 x - 6 = 2 y + 6$

$6 x - 6 - 6 = 2 y + 6 - 6$

$6 x - 12 = 2 y$

$\frac{6 x}{2} - \frac{12}{2} = \frac{2 y}{2}$

$3 x - 6 = y$

So the x intercept is the x value when y is equal to zero (this is where the graph intercepts the x axis) and the y intercept is the y value when x is equal to zero. Thus;

when x = 0; y= -6 and when y=0; x=2

The graph of this function is depicted below by using "Desmos Graphing Calculator" so that you can get to see both the x and y intercepts of this function properly.